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50 Points! Multiple choice geometry question. Photo attached. Thank you!

50 Points! Multiple choice geometry question. Photo attached. Thank you!-example-1
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User Machycek
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1 Answer

4 votes
Here you would use the law of cosines.

a^2 = b^2 + c^2 - 2(b)(c)cosx

In this case we need to find the angle of f, so for a we use the length f is. It’s set up like this:

30^2 = 20^2 + 25^2 -2(20)(25)cosx

Next multiple and simply everything

900 = 1025 -1000cosx

Now subtract 1025

-125 = -1000cosx

Divide by -1000 to get cosx by itself

.125 = cosx

Now take the inverse of cos

Cos^-1 (.125)

And you get 82.8 or 83

So the answer should be A


Hope that helps. Lmk if there are questions.
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User Iibrahimbakr
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7.6k points

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